No Buccaneer player was counting the hours before Sunday’s matchup more than Jameis Winston. Tampa Bay’s rookie quarterback couldn’t wait to atone for a mistake-prone effort against Carolina last week, when Winston threw four interceptions and mishandled a snap that led to a fumble in a 37-23 setback.

The first overall pick in the draft looked confident against Jacksonville while completing 13 of 19 passes for 209 yards and a touchdown in a 38-31 triumph before the bye week. Most importantly, the Bucs did not turn the ball over in 11 possessions.

“I thought Jameis did a great job of managing the game today,’’ center Joe Hawley said. “When we called on him, good things happened. It was huge that we were able to establish our running game (183 yards) and give Jameis confidence. I knew he’d bounce back. He’s one of the biggest competitors I’ve ever been around.’’

In posting a 122.5 passer rating, Winston helped the Bucs convert five of 11 third downs and establish a nine-minute advantage in possession time. “I’m getting better every week,’’ said Winston, who saw his apparent second-quarter fumble overturned on review when replay officials ruled he was down on a 9-yard sack by ex-Bucs defensive tackle Roy Miller. “I took the initiative not to turn the ball over this game and that worked out well.’’

Tampa Bay’s offensive line, featuring two rookies and a second-year replacement for injured guard Logan Mankins, offered Winston solid protection most of the day and repeatedly gouged a run defense that had allowed only 3.1 yards per carry.

“I saw poise,’’ Jaguars linebacker Telvin Smith said of Winston’s assured effort. “A lot of times when we watched film, it seemed like he got flushed and he would throw the ball up. I don’t think we got as much pressure on him, and he was able to sit back and get the ball to his guys. He made key throws when they needed them.’’